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Finding the Fourth Proportional to 16,116.77, 22,239.96 and 8,947.10

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Solution

The fourth proportional to 16,116.77, 22,239.96 and 8,947.10 is: 12,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.77 : 22,239.96 = 8,947.10 : x
  2. Step 2: Convert to fraction form
    16,116.77/22,239.96 = 8,947.10/x
  3. Step 3: Cross multiply
    16,116.77x = 22,239.96 × 8,947.10
  4. Step 4: Simplify right side
    16,116.77x = 198,983,146.12
  5. Step 5: Solve for x
    x = 198,983,146.12/16,116.77
  6. Step 6: Final answer
    x = 12,346.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.